at SciVerse ScienceDirect Journal of Archaeological Science 38 (2011) 3483e3496Contents lists availableJournal of Archaeological Science journal homepage: http : / /www.elsevier .com/locate/ jasSourcing ceramics with portable XRF spectrometers? A comparison with INAA using Mimbres pottery from the American Southwest Robert J. Speakman a,*, Nicole C. Little a, Darrell Creel b, Myles R. Miller c, Javier G. Iñañez a,d aMuseum Conservation Institute, Smithsonian Institution, Suitland, MD 20746, USA b Texas Archaeological Research Laboratory, University of Texas, Austin, TX 78712, USA cGeo-Marine Inc., El Paso, TX 77912, USA dDept. de Prehistòria, Història Antiga i Arqueologia, Universitat de Barcelona, Barcelona 08001, Catalonia, Spaina r t i c l e i n f o Article history: Received 3 May 2011 Received in revised form 11 August 2011 Accepted 15 August 2011 Keywords: Portable and handheld XRF INAA mXRF Mimbres and Jornada pottery* Corresponding author. Tel.: þ1 301 238 1242; fax E-mail address: Speakmanj@si.edu (R.J. Speakman 0305-4403/$ e see front matter Published by Elsevie doi:10.1016/j.jas.2011.08.011a b s t r a c t Seventy-five intact Mimbres and Jornada pottery sherds from the American Southwest were analyzed by portable XRF and instrumental neutron activation analysis (INAA). Examination of the data demonstrates that INAA and portable XRF results for elements common to both analyses can be used to construct similar compositional groups. When individual compositional groups are compared to one another, it is apparent that unambiguous separation of compositional groups is challenging by portable XRF given (1) the limited number of key discriminating elements that can be measured relative to INAA, and (2) the relative analytical precision and accuracy of portable XRF for measurements of intact heterogeneous ceramics. We conclude that sourcing intact ceramics by portable XRF is challenging and that bulk analytical measurements, such as INAA, remain a better approach for sourcing archaeological pottery. Published by Elsevier Ltd.1. Introduction Since the first archaeological applications of X-ray fluorescence (XRF) spectrometry in the 1960s, XRF has emerged as one of the most commonly used analytical tools for determining (both quali- tatively and quantitatively) the chemical compositions of a variety of archaeological and historical materialsdprimarily obsidian (e.g., Shackley, 1998) and metals (e.g., Guerra, 1998), but also ceramics (e.g., Buxeda et al., 2003; Hall, 2004; Iñañez et al., 2007), flint (e.g., Hughes et al., 2010), metallurgical slags (e.g., Charlton et al., 2010), and soils (e.g., Marwick, 2005). Until recently, most archaeological applications of XRF have been confined to dedicated laboratories where XRF research has been overseen by scientists knowledgeable about physics and chemistry. During the past ten years, this model has changed significantly as archaeologists, museum conservators, and curators with limited-to-no background in chemistry, physics, and/or provenance-based studies of archaeological materials, have begun to acquire and use with increasing frequency commercially available portable XRF spectrometers. Dubbed portable XRF (PXRF, pXRF), field-portable XRF (FPXRF), or handheld XRF, such instru- mentation has been commercially available since the early-to-mid: þ1 301 238 3709. ). r Ltd.1960s (Piorek, 1997), and was being used to analyze archaeological materials as early as the 1970s (e.g., Cesareo et al., 1973). By the mid-1990s, following technological developments in computing and instrumentation (e.g., tubes, detectors, and associated elec- tronics), portable XRF instruments were beginning to see increased use in geology (e.g., Potts et al., 1995, 1997a) and archaeology (e.g., Emery and Morgenstein, 2007; Morgenstein and Redmount, 2005; Pantazis et al., 2002; Potts et al., 1997b; Williams-Thorpe et al., 1999, 2003). And, since about 2005, there has been a tremendous increase in the number of portable instruments sold to the art and archaeological communities. We conservatively estimate there are approximately 200 such instruments worldwide currently being used at universities and museums in support of archaeological research and art conservation science. Despite the commercial availability of portable XRF analyzers for almost 50 years, the most common applications have been, and remain today, the metals recycling and mining industries. Although portable XRF instruments have proven to be valuable research tools, the wide-spread adoption of portable XRF is not without issues. It is abundantly clear to many of us in the field of archaeological chemistry that a large number of handheld XRF users lack fundamental knowledge of X-ray spectroscopy, chemistry, physics, materials science, and/or statistics (see Shackley, 2010a, 2010b for additional discussion). Likewise, many such users have little or no background in provenance studies of archaeological R.J. Speakman et al. / Journal of Archaeological Science 38 (2011) 3483e34963484materials, and fail to grasp the most basic principles that underlie the provenance postulate (e.g., Neff, 2000; Weigand et al., 1977). This “black box” approach is inherently problematic to archaeo- logical science. We underscore that it is not the analytical technique that is flawed, but rather the general lack of experience and knowledge of the users of this technology. Certainly this is not the case for all researchers who use portable XRF, but rather a broad generalization. We note that that there are no fundamental differ- ences in the physics or capabilities between portable XRF and more conventional energy dispersive XRF (EDXRF) instrumentsdboth instruments types (lab and portable) have X-ray tubes and detectors that allow elemental information about a given sample to be generated. The major differences are that portable XRF instruments are portable; typically lack the ability to measure lower atomic weight elements under “true” vacuum; objects are typically measured outside of a chamber using a point and shoot approach. Additionally, portable instruments generally lack the higher pow- ered software necessary for the deconvolution of spectra and quantification of data that is available in most laboratory-based instruments. Finally lab-based XRF instruments can produce slightly higher energy X-rays that may allow measurement of an additional element or two, but these differences are relatively minor. Hence for quantitative analyses, portable XRF instruments are ruled by the same constraints as any other laboratory-based XRF spectrometer. These include among others, clean flat surfaces, homogeneous samples, and calibration algorithms that ideally are based on matrix-matched standards and reference materials. Although many portable XRF instruments come with factory- installed quantification routines that convert X-ray intensities to abundance data, these calibrations typically are not comparable to the types of artifacts being analyzed and oftentimes produce spurious results. From a qualitative perspective, analysts can use the XRF spectra to identify the presence and/or absence of various elements, such as the presence of heavymetals (e.g., As, Hg, and Pb) used to protect ethnographic objects from insect infestations. However, quantification by XRF ideally requires that users be capable of creating their own calibrations and be able to evaluate these calibrations and resulting data in terms of accuracy, precision, and sensitivity. Whereas some portable XRF vendors might argue their preinstalled calibration routines are satisfactory and therefore this step is not necessary, the fact remains that reliable and accurate factory calibrations for ceramics and obsidian1 do not exist. We argue, that in many (if not most) cases, factory-installed calibra- tions are not adequate for quantification of elements in non- metallic archaeological materials. Portable XRF users who initiate projects based on the analyses of ceramics, obsidian, and other archaeological materials, using untested factory calibrations (i.e., calibrations not validated by the user through the analysis of known reference materials similar in composition to the objects being analyzed), do so at risk of generating data that are prob- lematic and/or unusable. With respect to factory calibrations, the one exception (based on our experience) is that most factory cali- bration routines for metal alloys tend to produce accurate resultsdat least for the major elements (e.g., Heginbotham et al., 2010). However, most archaeological metals are corroded and/or heavily patinated on the surface. Because XRF involves a shallow penetration of X-rays into the sample, elements that are enriched (or depleted) on the surface are predominantly being measured, which may be significantly different from the bulk composition of the metal.1 We have recently learned that one portable XRF manufacturer (Bruker) has obtained a set of ca. 30 well characterized obsidian reference samples for cali- brating instruments for obsidian analysis.Companies that sell portable XRF spectrometers routinely make claims that it is possible for individuals to analyzedwith minimal trainingda wide variety of archaeological, ethnographic, and art objects, such as ceramics, native copper, paints and pigments, and man-made glass. These claims are absolutely true! Anyone can be trained, with little effort, in the mechanics of using such a device to produce a spectrum. The disconnect lies in that the analysis (in this case the mechanics of producing a spectrum) is not necessarily the same as sourcing (in the sense of the term as we have come to expect). Simply generating numbers and creating compositional groups is not a sourcing study regardless of the analytical tech- nique. Likewise, qualitative approaches that involve stacking spectra on top of one another and pointing out differences in the spectra is not sourcing either. Researchers who generate (or incorporate) portable XRF data into their programs should question how the data compare to data generated by other analytical tech- niques? Are they reproducible? How do they compare to other published reference materials and standards? Can the data be used by other researchers in the future, or are the numbers only “internally consistent” and therefore only valid for the purposes of the current study. The same holds true for any analytical tech- nique. Although we have singled out portable XRF in the above discussion, these criteria apply to all types of analyses. We under- score that we are not biased against the use of portable XRF, and in fact, the senior author of this paper has long been a proponent of this technology for both qualitative and quantitative analyses of cultural heritage and geological materials (e.g., Aldenderfer et al., 2008; Brostoff et al., 2009; Craig et al., 2007, 2010; Cecil et al., 2007; Farris et al., in press; Glascock et al., 2007a,b; Goebel et al., 2008; Grissom et al., 2010; Heginbotham et al., 2010; Little et al., in press; Phillips and Speakman, 2009; Reuther et al., 2011; Slobodina et al., 2009; Speakman et al., 2007; Wolff et al., in press). For decades, laboratory-based XRF analyses of ceramics have occurred with some degree of regularity, but XRF of ceramics never has quite achieved the popularity of other analytical methods. The reason for this, in part, is the reduced sensitivity for trace elements relative to other analytical techniques such as instrumental neutron activation analysis (INAA) or inductively coupled plasma-mass spectrometry (ICP-MS), and generally speaking fewer “potentially discriminating” elements are analyzed (e.g., rare earth elements). It is no surprise then that laboratory-based XRF analyses have not witnessed the same degree of popularity as INAA of ceramics despite the ubiquitous nature of laboratory-based XRF instruments at most major universities, whereas only a handful of reactors exist with research programs dedicated to characterization of archaeo- logical ceramics. What is surprising is the apparent interest by archaeologists in using portable XRF to source ceramics (as wit- nessed by presentations at recent national and international archaeology and archaeometry meetings). Typically, and under optimal conditions, a laboratory-based XRF analysis of ceramics can provide usable data for approximately 20e25 elements versus the 10e20 elements that can reasonably be expected from a portable XRF analyzer. Traditionally, for quantitative analyses by laboratory- based XRF, several grams of homogenized ceramic powder typically is pressed into pellets, fused into disks, or both in order to measure majors and trace elements separately (e.g., Hein et al., 2002). The same approach is equally valid for portable XRF instruments, but does not seem to have been widely adopted by users of portable instruments. Although portable XRF is theoretically non- destructive, to correctly analyze ceramics the surface must be clean of slip, paint, glaze, dirt, etc. At a minimum this means that (1) the ceramic surface should be abraded with something akin to a silicon carbide burring tool to prepare the ceramic surface for analysis or (2) that the samples be prepared as pressed pellets or fused disks. A cut or broken edge also is a possibility assuming that Fig. 1. Examples of Mimbres Black-on-white pottery. Photographs courtesy of the Smithsonian National Museum of Natural History. R.J. Speakman et al. / Journal of Archaeological Science 38 (2011) 3483e3496 3485the sherd thickness is greater than the diameter of the XRF beam (ca. 4e10 mm, depending on the instrument) and that the area being analyzed is relatively flat2 and more or less homogeneous. Hence, true non-destructive sourcing of whole pots in museum collections is likely not a reality, although portable XRF may be the only practical method of acquiring any chemical compositional data in cases wheremuseums will not permit “destructive” sampling for INAA or other analytical methods. In a recent report, Tagle and Gross (2010) described the use of mXRF for the non-destructive analysis of Mesoamerican and other ceramics. The specific mXRF used in Tagle’s study had a spot size of ca. 3 mm diameter, which is not considerably different from the 3e5 mm diameter spot size of some commercial portable XRF instrumentsdincluding the instrument used herein. However, the idea of using a “true” mXRF spectrometer (e.g., an instrument with a beam size of ca. 30e100 mm diameter, or smaller) to source ceramics is troubling. At the 30e100 mm level of analysis what exactly is being measureddthe clay, non-plastics, or a combination of both? As part of this research, we conducted a limited mXRF study (see below) to illustrate the effects of homogeneity and heteroge- neity at the mm level. Despite the challenges and limitations of using portable XRF to source ceramics, the possibility for sourcing pottery remains,2 With calibration schemes that involve ratioing counts to the Compton peak or Bremsstrahlung continuum sample “flatness” is less of a problem in EDXRF. Flatness is a major concern when fundamental parameters (FP) calibrations are being used given that the calculations are based on the theoretical relationships between X-ray intensities and element concentrations in an ideal sample.provided that there is adequate sample preparation, i.e., removal of soil, slip, pigments, etc. from the sherd. In a recent paper, Goren and colleagues (Goren et al., 2011) concluded that portable XRF instruments could be used to nondestructively source clay tablets in cases where internal groupings had previously been established (e.g., by INAA). The authors correctly stressed that portable XRF was not a substitute for other chemical analyses or petrography, but that portable XRF could be useful for sourcing clay tablets when intru- sive sampling is not possible. In this paper, we explore the possi- bility of using portable XRF to source Mimbres and Jornada pottery from the American Southwest. Unlike the Goren et al. study which was conducted on what can be considered fine paste ceramics, we focused on pottery containing varying amounts of temper. 2. Samples 2.1. mXRF samples mXRF analyses were conducted on three samples: (1) an archaeological pottery specimen, MRM049, which has a moderate amount of coarsely crushed igneous rock; (2) a fine paste ceramic, New Ohio Red Clay; and (3) a sample of obsidian from Wiki Peak, Alaskada theoretically homogeneous material. 2.2. Portable XRF samples Since publication of Gilman et al.’s (1994) seminal INAA study of Mimbres pottery (Fig. 1), dozens of research projects involving the analyses of Mimbres and Jornada pottery have been conducted at Table 1 Descriptive information for pottery samples analyzed by portable XRF and INAA. Anid Group Ceramic Type Site Name Site # ANI022 Mimbres-21 Mimbres B/w Style III AZ BB1635 ANI024 Mimbres-21 Mimbres B/w Style III AZ U15127 ANI026 Mimbres-21 Mimbres B/w Style III AZ U15127 ANI029 Mimbres-21 Mimbres B/w Style III AZ BB1641 ANI030 Mimbres-21 Mimbres B/w Style III AZ BB1641 MRM003 Mimbres-11 Mimbres B/w Style III Hueco Tanks 41EP00002 MRM006 Mimbres-11 Mimbres B/w Style II Hueco Tanks 41EP00002 MRM026 Mimbres-02a Mimbres B/w Style III North Hills I 41EP00355 MRM028 Mimbres-04a Mimbres B/w Style III North Hills I 41EP00355 MRM033 Mimbres-02a Mimbres B/w Style III North Hills I 41EP00355 MRM035 Mimbres-02a Mimbres B/w Style III North Hills I 41EP00355 MRM042 Mimbres-01 Mimbres B/w Style III North Hills I 41EP00355 MRM043 Mimbres-02a Mimbres B/w Style III North Hills I 41EP00355 MRM049 Mimbres-02a Mimbres B/w Style III North Hills I 41EP00355 MRM050 Mimbres-02a Mimbres B/w Style III North Hills I 41EP00355 MRM052 Mimbres-02a Mimbres B/w Style III North Hills I 41EP00355 MRM053 Mimbres-02a Mimbres B/w North Hills I 41EP00355 MRM054 Mimbres-02a Mimbres B/w Style III North Hills I 41EP00355 MRM057 Mimbres-04a Mimbres B/w Style III North Hills I 41EP00355 MRM062 Mimbres-11 Mimbres B/w Style III North Hills I 41EP00355 MRM063 Mimbres-01 Mimbres B/w Style III North Hills I 41EP00355 MRM077 Mimbres-01 Mimbres B/w Style III Divad LA 096687 MRM081 Mimbres-11 Mimbres B/w Style III Divad LA 096687 MRM086 Mimbres-01 Mimbres B/w Style III Divad LA 096687 MRM087 Mimbres-02a Mimbres B/w Style III Divad LA 096687 MRM090 Mimbres-11 Mimbres B/w Style III Divad LA 096687 MRM094 Mimbres-11 Mimbres B/w Style III Divad LA 096687 MRM104 Mimbres-04a Mimbres B/w Style II Turq Ridge FB6307 MRM115 Mimbres-01 Mimbres B/w Style III Sandcliffe Sandcliffe MRM116 Mimbres-11 Mimbres B/w Style III Sandcliffe Sandcliffe MRM126 Mimbres-01 Mimbres B/w Style III Temporal LA 001085 MRM128 Mimbres-11 Mimbres B/w Style III Temporal LA 001085 MRM130 Mimbres-01 Mimbres B/w Style III Temporal LA 001085 MRM131 Mimbres-01 Mimbres B/w Style III Temporal LA 001085 MRM146 Mimbres-04a Mimbres B/w Style II Roth LA 073942 MRM150 Mimbres-03 Mimbres B/w Style II Roth LA 073942 MRM166 Mimbres-11 Mimbres B/w Style III Los Tules LA 016315 MRM191 Mimbres-08 Mimbres B/w Style II Los Tules LA 016315 MRM276 El Paso Core El Paso Polychrome Hueco Tanks 41EP00002 MRM282 El Paso Core El Paso Bichrome North Hills I 41EP00355 MRM286 El Paso Core El Paso Brownware Diablo 1 41HZ0491 MRM289 El Paso Core El Paso Brownware Diablo 3 41HZ0493 MRM290 El Paso Core El Paso Brownware Conejo LA 091044 MRM295 El Paso Core El Paso Brownware Hill 100 LA 097088 MRM305 El Paso Core El Paso Brownware Roth LA 073942 MRM307 El Paso Core El Paso Brownware Roth LA 073942 MRM311 El Paso Core El Paso Brownware Los Tules LA 016315 MRM312 El Paso Core El Paso Brownware Los Tules LA 016315 OT102 Mimbres-08 Mimbres B/w Style III LA 018342 OT157 Mimbres-08 Mimbres B/w Style III Ronnie Pueblo 83-NM-400 OT174 Mimbres-11 Mimbres B/w, Style II Old Town LA 001113 OT187 Mimbres-21 Mimbres B/w, Style II Old Town LA 001113 OT189 Mimbres-21 Mimbres B/w, Style II Old Town LA 001113 OT195 Mimbres-03 Untyped, Unslipped B/w Old Town LA 001113 OT196 Mimbres-03 Untyped, Unslipped B/w Old Town LA 001113 OT197 Mimbres-03 Untyped, Unslipped B/w Old Town LA 001113 OT198 Mimbres-03 Untyped, Unslipped B/w Old Town LA 001113 OT199 Mimbres-03 Untyped, Unslipped B/w Old Town LA 001113 OT200 Mimbres-03 Untyped, Unslipped B/w Old Town LA 001113 OT205 Mimbres-21 Mimbres B/w, Style II Old Town LA 001113 OT230 Mimbres-03 Untyped, Unslipped B/w Old Town LA 001113 OT231 Mimbres-03 Untyped, Unslipped B/w Old Town LA 001113 OT233 Mimbres-03 Untyped, Unslipped B/w Old Town LA 001113 OT234 Mimbres-03 Untyped, Unslipped B/w Old Town LA 001113 OT235 Mimbres-21 Mimbres B/w, Style II Old Town LA 001113 OT243 Mimbres-03 Untyped, Unslipped B/w Old Town LA 001113 OT504 Mimbres-08 Mimbres B/w Style III Avilas Canyon Village LA 045000 OT506 Mimbres-08 Mimbres B/w Style III Avilas Canyon Village LA 045000 OT511 Mimbres-04a Mimbres B/w Style III Avilas Canyon Village LA 045000 OT512 Mimbres-04a Mimbres B/w Style III Avilas Canyon Village LA 045000 OT513 Mimbres-04a Mimbres B/w Style III Avilas Canyon Village LA 045000 WCRM003 Mimbres-04a Mimbres B/w Style III Badger Ruin LA 111395 WCRM004 Mimbres-04a Mimbres B/w Style III Badger Ruin LA 111395 WCRM007 Mimbres-11 Mimbres B/w Style III Jackson Fraction LA 111413 WCRM010 Mimbres-08 Mimbres B/w Style III Jackson Fraction LA 111413 R.J. Speakman et al. / Journal of Archaeological Science 38 (2011) 3483e34963486 R.J. Speakman et al. / Journal of Archaeological Science 38 (2011) 3483e3496 3487Texas A&M and the University of Missouri Research Reactor Center (MURR). These projects have ranged in scale from small cultural resource management projects involving the analyses of relatively few samples to large-scale research projects initiated by Mimbres scholars. Most of the early work involving Mimbres pottery was conducted at Texas A&M in the early-to-mid 1990s by nuclear chemist Dennis James in collaboration with archaeologist Harry Shafer, Robbie Brewington, Holly Meier, and Eleanor Dahlin. Under the Texas A&M program, more than 1100 Mimbres, Jornada, and related pottery and clays were analyzed. Since the mid-1990’s, archaeologists Myles Miller, Darrell Creel, and numerous other researchers (e.g., Pat Gilman, Nancy Kenmotsu, Lori Reed, Bernard Schriever, Chris Turnbow, and others) have initiated dozens of INAA-based research projects through the MURR laboratory that were complementary to the Texas A&M program and Gilman’s earlier research through the Smithsonian-NIST INAA program. As a result of these combined efforts, more than 4000 Mimbres, Jor- nada, and related pottery specimens and clay samples from more than 250 sites throughout southern New Mexico, eastern Arizona, west Texas, and Chihuahua have been analyzed to date. Although these subsequent studies confirmed the patterns reported by Gilman et al. (1994) and have produced evidence for local ceramic production at a number of sites in the Mimbres Valley and else- where, there has been no published synthesis of the data. An ongoing major analytical effort, by Speakman, Creel, and Miller, focused on all extant INAA data has resulted in the identification of at least 45 Mimbres, Jornada, and related compositional groups. Interpretation and publication of these data is ongoing.Fig. 2. Map of eastern Arizona, southwest New Mexico, and west Texas showing the site lo sitional groups discussed in the text.For this study we selected 75 Mimbres and Jornada pottery samples representing eight of what we believe to be the most clearly defined and chemically distinct of the 45 compositional groups. Each sample selected for portable XRF analysis had previ- ously been analyzed by INAA at MURR allowing us to directly compare the results. The eight compositional groups represented in the portable XRF sample include Mimbres-1, Mimbres-2a, Mimbres-3, Mimbres-4a, Mimbres-8, Mimbres-11, Mimbres-21, and El Paso Core. Descriptive information and group assignments (based on INAA) for each sample are presented in Table 1. With the exception of the samples assigned to the El Paso Core group which represents Jornada brownwares produced in the vicinity of El Paso, Texas, most pottery is typologically classified as Mimbres Black-on-white Style III and dates to ca. AD 1000e1150. Despite the large numbers of Mimbres pottery analyzed by INAA, the assignment of the compositional groups to a specific site or groups of sites is problematic for several reasons. The first is that the criterion of abundance (Bishop et al., 1982) simply does not apply to Mimbres pottery. In most cases Mimbres pottery (including plain wares) was so widely moved around the landscape that at best only 20e30% of pottery analyzed from a given site might be considered locally produced. Consequently, we cannot confidently attribute compositional groups to a specific site or sites based on numbers alone. In addition, relatively few clays (<150) have been analyzed, and fewer than five compositional groups can be confidently linked to specific sites based on clay chemistry. Finally, the larger dataset of pottery represents numerous projects,cations of pottery analyzed in this study and the productions areas for the 8 compo- R.J. Speakman et al. / Journal of Archaeological Science 38 (2011) 3483e34963488each with different research questions. As a result, the sample is highly biased with approximately 15 sites representing ca. 50% of the sample. Having said this, we underscore that the point of this specific experiment is not to source the ceramics (we’ve already done that). Instead, our primary purpose here is to evaluate the potential of portable XRF for constructing compositional groups that can be used for provenance-based studies of ceramics.Fig. 3. mXRF line scans for selected elements showing chemical variability in Ohio Red Clay Black Line). A total of 130 individual measurements are represented by each line. Measureme a helium atmosphere. Note: Cr and Mg are below detection limits in the obsidian sample. (Fo the web version of this article.)The eight compositional groups selected for this study represent pottery production in five discrete geographic areas (Fig. 2). As indicated above, pottery assigned to the El Paso Core group repre- sents pottery production in El Paso, Texas. The Mimbres-1 group represents pottery production in the Rio Grande Valley of southern New Mexico, probably the Rio Vista site and possibly the area immediately north of Rio Vista. Mimbres-3 pottery was(Red line), archaeological pottery (MRM049; Blue line), and obsidian (Wiki Peak, AK; nts occurred at 80 mm intervals, at 50 kV and 600 mA for a live-time count of 60 s each in r interpretation of the references to colour in this figure legend, the reader is referred to Fig. 3. (continued). R.J. Speakman et al. / Journal of Archaeological Science 38 (2011) 3483e3496 3489manufactured in the Gila Forks area of New Mexico. Unlike other Mimbres Black-on-white pottery which is recognizable as a white- slipped brownware, pottery assigned to Mimbres-3 has a white paste. Mimbres-21 pottery was produced at the Woodrow site which is located along the Gila River in New Mexico, near the Ari- zona border. The remaining four groups, Mimbres-2a, -4a, -8, and -11 originate from the Mimbres Valley in southwest New Mexico. Mimbres-2a pottery was likely produced in the middle part of the Mimbres Valley, probably at Swarts Ruin. Mimbres-4a pottery is probably from the Galaz site, and Mimbres-8 is believed to repre- sent pottery production at the Mattocks site. Finally, Mimbres-11currently is believed to represent pottery production at Pruitt Ranch. 3. Analytical methods 3.1. mXRF sample preparation and analysis The archaeological pottery sample was abraded using a silicon carbide burr to remove the slip, paint, and/or any other materials adhering to the surface. The samplewas washed in deionized water and allowed to dry. The Ohio Red Clay sample is a test tile that was R.J. Speakman et al. / Journal of Archaeological Science 38 (2011) 3483e34963490produced at MURR and fired to 1100 C (Cogswell et al., 1996). Because the sample was flat and had been stored in a clean plastic bag since its manufacture, no sample preparation was necessary. The Wiki Peak obsidian sample was prepared by using a lapidary sawwith a diamond blade to remove a ca. 2 2 0.5 cm slice from a larger geological specimen. The sample subsequently was washed with deionized water. mXRF analyses were conducted using a Bruker AXS ARTAX 800 spectrometer equipped with a rhodium target polycapillary lens X- ray tube that has ca. 80 mm spatial resolution. The X-ray detector is a Si drift detector (SDD) with a 10 mm2 active area and energy resolution of ca. 142 eV for the Mn Ka peak at 100 kcps. For this experiment, the instrument was programmed to travel along a line ca. 10.4 mm in length. A total of 130 individual measurements occurred on each sample, at 80 mm intervals, at 50 kV and 600 mA, for a live-time count of 60 s at each spot. Analyses were conducted in a helium atmosphere to maximize Mg, Al, and Si measurements.3.2. INAA sample preparation and irradiation INAA sample preparation and analysis were conducted at the University of Missouri Research Reactor Center (MURR). The pottery samples were prepared for INAA using standard MURR procedures (Glascock et al., 2007a,b). Fragments of about 1e2 cm were removed from each sample and the surfaces were abraded using a silicon carbide burr to remove the slip, paint, and/or any other materials adhering to the surface, thereby reducing the risk of measuring surface contamination. The samples were washed in deionized water and allowed to dry in the laboratory. Once dry, the individual sherdswere ground to a fine homogenized powder using an agate mortar and pestle. Aliquots of approximately 150 mg of powder were weighed into small polyvials used for short irradiations at MURR. At the same time, 200 mg of each sample were weighed into the high-purity quartz vials used for long irradiations. Along with the unknown samples, reference standards of SRM-1633a (coal fly ash) and SRM- 688 (basalt rock) were similarly prepared, as were quality control samples (e.g., standards treated as unknowns) of SRM-278 (obsidian rock) and Ohio Red Clay.Table 2 mXRF data summary statistics for MRM049, Ohio Red clay, and Wiki Peak obsidian. %rsd MRM049 Ohio Red Clay (N Average Counts std %rsd Average Counts Mg 145 93 64 361 Al 25,642 3980 16 25,513 Si 174,698 25,104 14 144,248 K 89,190 28,381 32 101,414 Ca 33,225 16067 48 8494 Ti 37,917 16,162 43 63,744 Cr 1111 1246 112 2227 Mn 4512 1961 43 6765 Fe 817,290 199,095 24 1,679,301 Ni 1142 2484 217 2900 Cu 1659 1331 80 1063 Zn 6479 1895 29 6529 Ga 2340 1702 73 833 Rb 16,868 2555 15 13,383 Sr 13,138 4282 33 4658 Y 207 548 265 506 Zr 15,525 7848 51 14,443 Nb 1197 436 36 880 std e standard deviation. %rsd e % relative standard deviation. bdl e below detection limits.INAA of ceramics at MURR, which consists of two irradiations and a total of three gamma counts, constitutes a superset of the procedures used at most other NAA laboratories (Glascock, 1992; Neff, 2000). As discussed in detail by Glascock (1992), a short irradiation entails the irradiation of each sample for 5 s by a neutron flux of 8  1013 cm2 s1. The 720-second count yields gamma spectra containing peaks for short-lived elements: Al, Ba, Ca, Dy, K, Mn, Na, Ti, and V. The samples encapsulated in quartz vials are subjected to a 24-h irradiation at a neutron flux of 51013 cm2 s1. This long irradiation is analogous to the single irradiation utilized at most other laboratories. After the long irradiation, samples decay for seven days, and then are counted for 2000 s (the “middle count”) on a high-resolution germanium detector coupled to an automatic sample changer. The middle count yields determinations of seven medium half-life elements, namely As, La, Lu, Nd, Sm, U, and Yb. After an additional three- to four-week day, a final count of 9000 s is carried out on each sample. The latter measurement yields the following 17 long half-life elements: Ce, Co, Cr, Cs, Eu, Fe, Hf, Ni, Rb, Sb, Sc, Sr, Ta, Tb, Th, Zn, and Zr. 3.3. Portable XRF sample preparation and analysis Portable XRF analyses were conducted on archived sherds retained from the earlier INAA studies. Ceramic fragments of approximately 1e2 cmwere abraded using a silicon carbide burr to flatten the surfaces and remove slip, paint, and/or any other mate- rials adhering to the surface. The samples were washed in deionized water and allowed to dry. Analyses were conducted using a Bruker Tracer III-V handheld XRF spectrometer equipped with a rhodium tube and a Si-PIN detector with a resolution of ca. 170 eV FWHM for 5.9 keV X-rays (at 1000 counts per second) in an area 7 mm2. The spot size on this specific instrument is ca. 4 mm diameter. Each sample was measured twice using different excitation conditions. For the first analysis, each sample was analyzed at 40 kV, 15 mA, with a 0.076-mm copper filter and 0.0305-mm aluminum filter placed in the X-ray path for a 200-second live- time count. Peak intensities for the Ka peaks of Mn, Fe, Rb, Sr, Y, Zr, Nb, and La peak of Th were calculated as ratios to the Compton peak of rhodium, and converted to parts-per-million (ppm) using(relative standard deviation); Conc. (concentration). OR) Wiki Peak Obsidian std %rsd Average Counts std %rsd 101 28 bdl 1776 7 18,819 633 3 8320 6 211,946 5538 3 6439 6 95,718 878 1 2118 25 25,141 2013 8 17,377 27 14,316 196 1 1421 64 bdl 2259 33 9052 208 2 82,389 5 300,527 8617 3 814 28 37 65 174 395 37 866 248 29 841 13 2508 232 9 300 36 2247 190 8 576 4 10,073 270 3 384 8 7960 309 4 1208 238 38 146 380 8051 56 12,397 328 3 296 34 554 228 41 Table 3 INAA and portable XRF data for individual specimens. Group Al (PXRF) % Al (NAA) % K (PXRF) % K (NAA) % Ca (PXRF) % Ca (NAA) % Ti (PXRF) % Ti (NAA) % Mn (PXRF) ppm Mn (NAA) ppm Fe (PXRF) % Fe (NAA) % Th (PXRF) ppm Th (NAA) ppm Rb (PXRF) ppm Rb (NAA) ppm Sr (PXRF) ppm Sr (NAA) ppm ZR (PXRF) ppm Zr (NAA) ppm Y (PXRF) ppm Nb (PXRF) ppm El Paso Core MRM276 9.07 8.76 3.45 4.40 1.23 1.46 0.53 0.67 563 555 4.44 3.72 14 17 98 99 379 305 399 506 39 38 MRM282 8.66 8.71 2.26 3.11 0.86 1.27 0.48 0.55 517 414 4.41 3.85 13 19 103 113 198 322 421 367 28 28 MRM286 8.73 9.27 2.36 3.50 0.82 1.15 0.36 0.36 440 303 2.84 3.05 16 28 112 138 361 322 308 309 24 31 MRM289 9.32 9.13 1.78 2.94 2.34 1.51 0.46 0.65 627 536 4.73 4.75 20 24 99 100 541 432 483 287 28 41 MRM290 9.24 9.11 2.07 3.10 1.00 1.36 0.40 0.56 453 485 3.80 4.30 12 21 116 112 343 455 361 296 28 31 MRM295 8.45 9.09 2.35 3.21 1.08 1.31 0.38 0.45 847 454 3.40 3.63 12 19 132 134 340 360 303 275 31 26 MRM305 9.59 9.24 3.20 4.05 0.97 1.33 0.56 0.60 625 564 3.56 4.24 14 19 109 112 538 414 544 418 35 38 MRM307 10.11 8.60 2.66 3.28 1.24 1.59 0.38 0.43 604 553 4.33 4.05 12 18 128 109 263 455 338 283 32 22 MRM311 9.78 9.34 2.91 2.82 0.95 1.39 0.35 0.34 663 372 4.63 4.12 21 20 137 132 407 408 298 282 35 33 MRM312 9.37 8.18 2.61 2.91 1.05 1.20 0.42 0.49 610 396 3.90 4.02 13 21 102 105 397 450 295 220 22 31 Mean 9.23 8.94 2.57 3.33 1.15 1.36 0.43 0.51 595 463 4.01 3.97 15 21 114 115 377 392 375 324 30 32 Standard Dev. 0.52 0.37 0.51 0.52 0.44 0.14 0.07 0.11 116 90 0.61 0.45 3 3 14 14 106 60 86 84 5 6 %rsd 5.6 4.1 20.0 15.5 38.0 10.2 16.5 22.2 19.5 19.5 15.2 11.4 21.3 15.2 12.6 12.2 28.2 15.2 23.0 25.8 17.0 18.2 Mimbres-01 MRM042 10.18 9.02 3.01 3.73 0.47 0.58 0.26 0.22 341 418 1.62 1.74 34 36 239 259 136 145 157 149 33 18 MRM063 10.14 9.69 2.49 3.30 0.43 0.63 0.20 0.18 135 127 1.19 1.27 36 46 184 205 79 73 145 193 27 18 MRM077 10.16 10.48 2.90 3.47 0.49 0.65 0.12 0.11 189 165 0.94 1.05 48 56 214 232 82 88 173 166 28 22 MRM086 12.11 9.83 2.78 2.72 1.04 0.78 0.16 0.11 333 149 1.08 1.11 40 50 186 195 115 110 159 177 27 23 MRM115 12.54 10.69 2.85 3.01 0.83 0.76 0.18 0.15 290 305 1.41 1.37 62 55 231 241 115 97 140 155 44 25 MRM126 12.00 9.43 2.92 3.43 1.22 0.75 0.39 0.11 156 170 0.82 0.97 39 49 178 196 152 203 113 170 24 22 MRM130 10.90 9.48 2.92 2.89 0.72 0.59 0.45 0.16 205 153 1.02 1.24 37 49 196 221 140 135 158 166 25 22 MRM131 9.68 9.39 2.74 3.42 0.39 0.78 0.19 0.16 172 171 0.82 1.02 40 47 188 195 130 109 132 147 28 24 Mean 10.96 9.75 2.83 3.25 0.70 0.69 0.24 0.15 228 207 1.11 1.22 42 48 202 218 119 120 147 165 30 22 Standard Dev. 1.10 0.57 0.16 0.34 0.31 0.09 0.12 0.04 82 101 0.28 0.25 9 6 23 24 27 41 19 15 7 2 %rsd 10.0 5.8 5.6 10.5 44.2 12.7 47.5 27.5 35.9 48.7 25.6 20.5 21.4 12.9 11.5 11.1 22.4 34.2 12.8 9.3 22.1 11.1 Mimbres-02a MRM026 9.58 9.01 2.45 2.79 0.96 1.24 0.30 0.29 479 395 2.63 2.64 21 21 146 159 301 403 227 151 32 20 MRM033 10.18 9.17 2.38 2.83 0.75 1.16 0.32 0.36 473 315 2.69 2.75 16 20 136 155 277 303 319 194 32 21 MRM035 10.43 9.24 2.20 2.55 0.82 1.27 0.35 0.34 343 315 2.78 2.72 18 20 149 155 284 333 232 163 33 18 MRM043 9.02 8.89 2.25 2.68 0.85 1.15 0.40 0.33 378 251 2.60 2.59 17 19 156 147 299 294 216 154 39 21 MRM049 9.61 9.19 2.54 3.29 0.45 0.61 0.34 0.30 200 193 2.08 2.04 20 24 183 190 149 153 262 173 32 23 MRM050 10.21 9.08 2.40 2.86 0.82 1.17 0.32 0.33 419 364 2.35 2.38 14 19 142 151 367 382 250 180 32 20 MRM052 9.91 9.20 2.16 2.60 0.77 1.22 0.32 0.33 434 299 2.70 2.69 21 20 145 144 283 321 268 218 32 18 MRM053 12.61 8.59 1.89 2.68 3.34 1.26 0.29 0.27 396 320 2.49 2.74 16 19 140 143 279 375 208 169 30 17 MRM054 10.00 9.67 2.19 2.71 0.70 0.98 0.31 0.33 439 356 2.48 2.59 18 20 150 155 328 348 232 181 34 20 MRM087 10.07 8.40 2.31 2.76 0.86 1.21 0.36 0.31 513 533 2.58 2.62 15 20 144 152 335 403 253 187 36 21 Mean 10.16 9.04 2.28 2.77 1.03 1.13 0.33 0.32 407 334 2.54 2.58 17 20 149 155 290 331 247 177 33 20 Standard Dev. 0.95 0.35 0.18 0.21 0.82 0.20 0.03 0.03 88 90 0.21 0.22 2 1 13 13 58 74 32 20 2 2 %rsd 9.3 3.9 8.0 7.4 79.6 17.7 9.7 8.2 21.7 27.1 8.1 8.3 13.4 6.9 8.8 8.7 19.8 22.3 13.0 11.3 7.5 9.0 Mimbres-03 MRM150 9.03 8.14 2.51 4.70 0.98 0.82 0.27 0.11 690 535 1.36 1.38 41 38 281 289 100 90 240 193 167 41 OT195 9.74 7.98 5.43 5.24 0.49 0.88 0.12 0.11 655 713 1.16 1.23 42 37 289 304 40 42 209 226 76 29 OT196 11.31 8.39 4.91 5.02 0.71 1.18 0.11 0.15 401 667 0.98 1.35 39 36 277 283 60 63 215 201 66 29 OT197 10.52 8.48 5.12 5.14 0.73 0.29 0.11 0.07 504 672 0.96 1.37 47 37 279 291 69 54 207 206 85 31 OT198 10.07 8.03 4.91 5.05 0.53 0.81 0.11 0.08 557 538 1.06 1.31 39 32 271 278 68 67 183 167 66 27 OT199 10.85 8.31 5.13 5.31 0.53 0.68 0.13 0.06 420 614 1.03 1.39 31 36 300 305 59 49 223 194 113 32 OT200 11.16 8.14 5.31 5.58 0.99 1.26 0.12 0.19 508 651 1.22 1.47 44 35 315 329 52 50 187 186 81 27 OT230 10.30 8.32 4.35 4.56 0.74 1.08 0.13 0.13 696 622 1.22 1.26 38 35 250 258 90 90 275 156 80 30 OT231 11.25 7.84 5.12 5.41 0.92 1.65 0.15 0.23 572 630 1.04 1.22 36 34 280 282 63 68 197 151 103 29 OT233 12.37 8.24 5.95 5.19 0.90 0.87 0.15 0.14 556 663 1.02 1.29 49 37 322 312 74 58 212 187 106 34 OT234 11.25 8.66 5.45 5.01 0.84 1.11 0.11 0.14 469 613 0.98 1.21 44 36 271 286 49 39 194 162 78 31 (continued on next page) R.J.Speakm an et al./ Journal of A rchaeological Science 38 (2011) 3483 e 3496 3491 Table 3 (continued ) Group Al (PXRF) % Al (NAA) % K (PXRF) % K (NAA) % Ca (PXRF) % Ca (NAA) % Ti (PXRF) % Ti (NAA) % Mn (PXRF) ppm Mn (NAA) ppm Fe (PXRF) % Fe (NAA) % Th (PXRF) ppm Th (NAA) ppm Rb (PXRF) ppm Rb (NAA) ppm Sr (PXRF) ppm Sr (NAA) ppm ZR (PXRF) ppm Zr (NAA) ppm Y (PXRF) ppm Nb (PXRF) ppm OT243 12.16 8.37 5.39 4.71 0.70 0.64 0.14 0.18 471 604 1.08 1.33 33 35 263 269 89 54 218 174 94 33 Mean 10.83 8.24 4.97 5.08 0.75 0.94 0.14 0.13 542 627 1.09 1.32 40 36 283 290 68 60 213 183 93 31 Standard Dev. 0.96 0.23 0.86 0.30 0.18 0.35 0.04 0.05 99 52 0.12 0.08 5 1 21 19 18 16 25 22 28 4 %rsd 8.9 2.8 17.4 6.0 23.4 36.9 32.1 38.6 18.3 8.4 11.2 6.0 13.4 3.9 7.3 6.7 26.5 27.3 11.7 12.2 29.9 11.9 Mimbres-04a MRM028 9.13 9.11 1.98 2.69 0.95 1.35 0.36 0.25 516 493 3.06 2.70 18 17 128 137 228 301 296 189 30 19 MRM057 9.60 8.83 1.95 2.79 1.01 1.35 0.30 0.26 540 519 2.86 2.83 17 22 124 126 247 246 237 199 31 20 MRM146 9.47 7.86 2.69 3.20 0.89 1.32 0.14 0.22 570 419 2.46 2.69 20 21 181 181 234 241 225 198 29 16 OT511 8.97 8.80 2.32 2.70 0.61 1.00 0.39 0.36 292 379 2.36 2.47 15 19 134 150 222 257 366 266 27 17 OT512 8.55 8.82 2.31 2.96 0.66 1.10 0.29 0.29 282 203 1.64 1.98 16 20 135 147 246 288 191 180 30 15 OT513 8.31 7.74 2.36 2.78 0.59 0.97 0.35 0.39 329 308 2.30 2.29 16 19 143 153 238 251 271 274 29 17 WCRM003 9.67 8.35 2.35 2.82 0.76 1.01 0.34 0.29 203 248 2.17 2.28 18 19 133 140 251 249 236 168 28 15 WCRM004 8.74 8.99 2.28 2.93 0.53 1.30 0.29 0.27 723 376 2.36 2.37 19 27 174 177 136 234 200 169 38 18 MRM104 9.35 8.97 1.93 2.62 0.83 1.37 0.39 0.39 443 390 3.15 3.08 10 18 113 120 275 303 246 184 28 18 Mean 9.09 8.61 2.24 2.83 0.76 1.20 0.32 0.30 433 371 2.49 2.52 17 20 141 148 231 263 252 203 30 17 Standard Dev. 0.48 0.50 0.25 0.18 0.17 0.17 0.08 0.06 169 104 0.47 0.34 3 3 23 21 39 26 54 40 3 2 %rsd 5.3 5.8 11.1 6.3 22.5 14.3 24.5 21.1 38.9 28.1 19.0 13.4 17.7 15.0 16.1 13.9 16.8 10.1 21.3 19.5 10.8 10.2 Mimbres-08 MRM191 8.34 8.46 2.62 3.31 0.56 0.77 0.30 0.30 323 183 1.78 2.11 22 27 193 198 158 152 231 173 27 19 OT102 8.45 8.39 2.38 2.75 0.38 0.61 0.27 0.24 288 195 1.86 2.16 21 31 209 199 114 131 215 165 31 16 OT157 7.71 8.30 2.42 2.92 0.48 0.85 0.26 0.28 399 248 1.99 2.10 22 28 191 193 140 584 201 197 28 16 OT504 8.71 8.49 2.35 2.90 0.45 0.62 0.30 0.28 242 201 1.90 2.15 22 27 156 189 120 119 186 198 25 15 OT506 9.08 8.17 2.83 3.29 0.39 0.60 0.30 0.32 416 497 1.87 1.89 21 26 199 196 130 150 274 208 31 19 WCRM010 9.14 8.07 2.66 3.14 0.54 0.74 0.27 0.22 479 330 1.83 2.03 25 27 198 199 121 112 224 175 27 17 Mean 8.57 8.32 2.54 3.05 0.46 0.70 0.28 0.27 358 275 1.87 2.08 22 28 191 196 131 208 222 186 28 17 Standard Dev. 0.53 0.17 0.19 0.23 0.07 0.10 0.02 0.04 88 121 0.07 0.10 2 2 18 4 16 185 30 17 3 2 %rsd 6.2 2.0 7.5 7.5 15.6 15.0 7.2 13.4 24.7 43.9 3.8 4.8 7.0 5.8 9.5 2.0 12.6 89.0 13.6 9.3 9.2 10.0 Mimbres-11 MRM003 10.87 7.85 2.85 2.97 0.88 0.92 0.37 0.26 769 996 2.35 2.15 20 18 191 198 241 199 204 157 32 21 MRM006 10.80 8.48 2.64 3.13 1.12 1.28 0.36 0.38 482 397 2.06 2.08 16 20 177 184 236 221 225 172 32 22 MRM062 10.85 8.90 2.81 3.26 0.76 1.07 0.40 0.36 1134 1088 2.47 2.35 17 19 189 189 234 265 213 143 32 19 MRM081 10.26 8.26 2.66 2.92 1.07 0.71 0.30 0.20 3068 2331 2.11 2.19 18 20 190 200 225 243 191 121 34 18 MRM090 11.76 8.80 2.63 2.89 0.92 0.85 0.37 0.23 929 1155 3.13 3.02 14 19 190 190 190 177 200 165 29 17 MRM094 13.34 8.20 2.81 3.23 2.36 1.09 0.36 0.42 780 741 2.28 2.50 15 19 204 198 224 260 215 165 31 22 MRM116 12.54 8.39 2.85 2.89 0.83 1.05 0.18 0.30 1229 1384 2.52 2.64 15 19 191 199 246 294 212 161 29 19 MRM128 10.41 8.86 2.92 4.15 0.54 1.06 0.12 0.33 2109 2367 2.34 2.41 17 21 202 208 232 223 191 159 32 21 MRM166 11.05 8.13 2.90 3.27 1.02 0.91 0.38 0.37 965 796 1.95 2.21 13 20 181 184 271 247 254 169 28 23 OT174 11.33 8.75 2.90 2.52 0.79 1.00 0.39 0.36 401 338 2.09 2.25 28 22 197 191 233 243 235 155 34 22 WCRM007 11.87 9.02 2.49 3.11 0.86 1.07 0.42 0.59 1405 1663 2.81 2.77 17 18 181 174 262 253 209 136 29 22 Mean 11.37 8.51 2.77 3.12 1.01 1.00 0.33 0.35 1206 1205 2.37 2.42 17 20 190 192 236 239 214 155 31 21 Standard Dev. 0.94 0.38 0.14 0.40 0.47 0.15 0.10 0.11 775 686 0.35 0.29 4 1 9 10 21 32 19 16 2 2 %rsd 8.2 4.4 5.1 12.9 46.8 15.1 28.6 30.6 64.2 56.9 14.7 12.2 23.3 6.4 4.5 5.0 9.0 13.6 8.8 10.1 6.8 9.0 Mimbres-21 ANI022 10.48 9.85 2.80 3.07 0.72 0.99 0.33 0.30 851 927 2.63 2.78 9 11 144 153 275 317 246 158 30 11 ANI024 10.81 8.61 2.59 3.02 0.91 1.16 0.29 0.25 771 885 2.38 2.45 8 10 129 133 327 356 258 153 26 14 ANI026 11.27 9.36 2.46 2.34 1.08 1.22 0.31 0.25 904 1180 3.12 3.28 8 9 117 119 374 444 232 147 24 11 ANI029 11.90 9.82 2.61 2.87 1.03 1.36 0.28 0.27 955 1076 2.51 2.91 9 10 121 130 372 385 241 160 25 13 ANI030 10.39 8.78 2.23 2.37 0.81 1.23 0.25 0.25 1105 1225 2.27 2.63 7 10 114 117 368 411 217 148 23 11 OT187 12.49 8.63 2.80 2.75 1.71 1.79 0.23 0.28 734 1073 1.97 2.44 10 10 98 110 351 403 187 147 22 8 OT189 11.83 9.15 2.53 2.57 1.62 2.37 0.23 0.15 912 1145 2.28 2.47 10 9 107 114 400 480 275 143 23 12 OT205 10.37 9.08 2.36 2.72 0.93 1.16 0.28 0.27 988 1154 2.88 3.13 11 10 133 131 354 362 229 172 24 13 OT235 11.34 8.93 2.56 2.84 0.84 1.46 0.27 0.18 1034 1028 2.22 2.39 14 9 126 128 380 265 233 140 24 13 Mean 11.21 9.13 2.55 2.73 1.07 1.41 0.27 0.24 917 1077 2.47 2.72 10 10 121 126 356 380 235 152 25 12 Standard Dev. 0.76 0.47 0.19 0.26 0.35 0.42 0.04 0.05 120 114 0.36 0.33 2 1 14 13 36 65 25 10 2 2 %rsd 6.8 5.1 7.3 9.5 32.9 30.0 12.9 19.7 13.1 10.6 14.4 12.0 20.5 7.2 11.4 10.2 10.2 17.1 10.6 6.7 8.9 13.1 R.J.Speakm an et al./ Journal of A rchaeological Science 38 (2011) 3483 e 3496 3492 Ta b le 4 C on ce n tr at io n ra ti os fo r p or ta bl e X R F ve rs u s IN A A . El Pa so C or e M im br es -0 1 M im br es -0 2a M im br es -0 3 M im br es -0 4a M im br es -0 8 M im br es -1 1 M im br es -2 1 A ll G ro u p s M ea n st d % rs d M ea n st d % rs d M ea n st d % rs d M ea n st d % rs d M ea n st d % rs d M ea n st d % rs d M ea n st d % rs d M ea n st d % rs d M ea n st d % rs d A l 1. 03 0. 08 8 1. 13 0. 10 9 1. 13 0. 13 12 1. 31 0. 11 9 1. 06 0. 08 8 1. 03 0. 08 7 1. 34 0. 13 10 1. 23 0. 11 9 1. 16 0. 12 11 K 0. 77 0. 12 16 0. 88 0. 10 11 0. 82 0. 05 6 0. 98 0. 16 16 0. 79 0. 06 7 0. 83 0. 03 4 0. 90 0. 11 13 0. 94 0. 07 7 0. 86 0. 07 8 C a 0. 84 0. 26 30 1. 00 0. 38 38 0. 90 0. 62 69 0. 93 0. 53 57 0. 64 0. 10 16 0. 67 0. 06 10 1. 03 0. 46 44 0. 76 0. 12 15 0. 85 0. 15 17 Ti 0. 87 0. 11 12 1. 71 0. 93 54 1. 04 0. 11 10 1. 19 0. 58 49 1. 05 0. 22 21 1. 05 0. 12 11 1. 02 0. 38 38 1. 16 0. 23 20 1. 14 0. 25 22 M n 1. 32 0. 32 25 1. 18 0. 45 38 1. 24 0. 19 16 0. 87 0. 20 22 1. 17 0. 35 30 1. 39 0. 33 24 1. 02 0. 19 19 0. 85 0. 09 11 1. 13 0. 20 18 Fe 1. 01 0. 12 12 0. 90 0. 08 9 0. 99 0. 03 3 0. 83 0. 09 11 0. 98 0. 08 8 0. 90 0. 05 6 0. 98 0. 06 6 0. 91 0. 05 6 0. 94 0. 06 6 Th 0. 72 0. 15 20 0. 87 0. 12 14 0. 86 0. 09 10 1. 13 0. 14 12 0. 83 0. 15 18 0. 80 0. 08 10 0. 88 0. 17 19 1. 01 0. 23 23 0. 89 0. 13 14 R b 0. 99 0. 09 9 0. 93 0. 03 3 0. 96 0. 05 5 0. 97 0. 02 2 0. 95 0. 04 4 0. 98 0. 08 8 0. 99 0. 03 3 0. 96 0. 04 4 0. 97 0. 02 2 Sr 0. 97 0. 26 27 1. 02 0. 15 14 0. 89 0. 09 11 1. 14 0. 21 18 0. 88 0. 14 16 0. 85 0. 31 37 1. 00 0. 11 11 0. 96 0. 19 20 0. 96 0. 09 10 Zr 1. 18 0. 24 20 0. 90 0. 13 15 1. 40 0. 13 10 1. 18 0. 22 18 1. 25 0. 19 15 1. 20 0. 17 14 1. 39 0. 14 10 1. 55 0. 20 13 1. 26 0. 20 16 st d e st an d ar d d ev ia ti on . % rs d e % re la ti ve st an d ar d d ev ia ti on . R.J. Speakman et al. / Journal of Archaeological Science 38 (2011) 3483e3496 3493linear regressions derived from the analysis of 15 obsidian refer- ence samples (Phillips and Speakman, 2009). The obsidian cali- bration was selected to quantify the ceramic data because our initial experiments suggested that it worked quite well. Given that both obsidian and pottery are silicates and given the relative accuracy of the calibration for ceramics, this approach seemed reasonable. Technically it also should be possible to measure zinc using these settings; however, a high instrument background precludes accurate quantification of this element when present in low abundances. For the second analysis, each sample was analyzed at 12 kV, 15 mA, for a 200-second live-time count. Peak intensities for the Ka peaks Al, K, Ti, and Kb peak of Ca were converted to parts-per- million (ppm) using a quadratic regression model based on the analyses of New Ohio Red Clay (Glascock et al., 2007a,b), Brill Glass A and B, and USGS pressed powder standards (AGV-1, DNC-1, DTS- 2, G-2, MAG-1, SDC-1, SDO-1, SGR-1, andW-2). Siliconwas observed in all spectra and Cr was observed in some spectra, but no attempts were made to quantify these elements. 4. Results 4.1. mXRF results Graphical depictions of the mXRF data for 12 of the 18 elements measured are shown in Fig. 3A and B. These line scansdbased on measurements of Mg, Al, Si, K, Ca, Ti, Cr, Mn, Fe, Rb, Sr, and Zrdillustrate the heterogeneous nature of the Ohio Red Clay (red line) and archaeological pottery (blue line) relative to the more homogeneous obsidian (black line). In the case of the obsidian sample Cr and Mg were below detection limits. Inspection of the line plots and the mean and standard deviations of the count rates (see Table 2) illustrate the relative homogeneity of the obsidian sample relative to the moderately tempered archaeological spec- imen and the fine-paste Ohio Red Clay tile. If we exclude Mg, Cr, Ni, Cu, Y, and Nb from consideration for all samples, due to inherently low values in the specimens analyzed and/or instrument sensitivity issues which resulted in greater analytical error, we see the obsidian has an average coefficient of variation of 4% versus 19% for the Ohio Red tile, and 35% for the archaeological sample. Visually, significant variability in the archaeological sample is evident in the plots for Al, K, Ca, Ti, Fe, Sr, and Zr and would seem to support a hypothesis that mXRF is less than adequate for provenance studies of ceramics. 4.2. Portable XRF results Compositional data for all elements measured by portable XRF and their corresponding INAA data are presented in Table 3. Concentration ratios for portable XRF versus INAA groups are pre- sented in Table 4. In general, some correlation exists between the INAA values and the corresponding portable XRF values (Table 3). Having said this, however, it is clear that some elements are better correlated than others. As shown in Table 4, Rb data for portable XRF and INAA are highly correlated and exhibit low relative stan- dard deviations. Sr and Fe ratios for all groups are greater than 90% and are reasonably well correlated. Mean ratios for Zr are high and exhibit variability that likely reflects heterogeneity in the ceramic samples measured by portable XRF and possibly higher analytical error that is inherent in INAA measurements for this element. Th ratios tend to be systematically low in the portable XRF data which is a reflection of the ability of XRF to accurately measure low ppm Th. Likewise, Al is difficult to measure by XRF and even more challenging for samples not measured under full vacuum. We suspect that differences among K, Ca, and Ti reflect differences Fig. 5. Variance-covariance matrix PCA biplot based on Cr, Cs, Eu, Ta, Th measurements by INAA that are known to be important discriminating elements of Mimbres and R.J. Speakman et al. / Journal of Archaeological Science 38 (2011) 3483e34963494between the two type of analysesdbulk (INAA) versus heteroge- neous surface analyses (portable XRF). Despite the observed differences between the two analytical techniques, there is some general agreement between the elements common to the INAA and portable XRF analysis. Following common statistical routines for multivariate compositional datasets (see Glascock, 1992, among others), biplots derived from principal components analysis (PCA) of the elements in common to both the INAA and portable XRF datasets (Al, K, Ca, Ti, Mn, Fe, Rb, Sr, Zr, Th), calculated here as variance-covariance matrices, show more or less the same group structure (Fig. 4A and B). In general, these figures illustrate the elements that can be measured and quantified by portable XRF have similar analytical precision and accuracy, but that these elements as a group are not particularly useful for sourcing archaeological ceramics at a site- specific level. When PCA scores are recalculated to include all elements measured by portable XRF (e.g., the inclusion of Y and Nb in the data matrix) no significant differences are observed. In contrast, a variance-covariance matrix biplot, based on PCA of 5 INAA elements (Cr, Cs, Eu, Ta, Th) known to be good discriminatorsFig. 4. A and B Biplot derived from PCA of the variance-covariance matrix of the Mimbres and Jornada pottery samples measured by portable XRF (A). Ellipses repre- sent 90% confidence level for membership in the groups. Only elements in common to both portable XRF and INAA (Al, K, Ca, Ti, Mn, Fe, Rb, Sr, Zr, Th) are used to calculate PCA scores. (B) Same as above, but based on INAA data. Jornada pottery. Fig. 6. A and B Elemental plots showing the best separation of groups/samples analyzed by portable XRF (A) and INAA (B). R.J. Speakman et al. / Journal of Archaeological Science 38 (2011) 3483e3496 3495of the groups in question, show a clear and unambiguous separa- tion of the eight compositional groups (Fig. 5). In addition to examining the data in multivariate space, attempts were made to show group discrimination using bivariate plots of the elements. The absolute best possible separation of the 8 groups using portable XRF data is shown in Fig. 6A. In this figure Th and Nb show marginal separation of the El Paso Core and groups Mimbres-1, Mimbres-3, and Mimbres-21 from the 4 Mimbres Valley groups (Mimbres-2a, 4a, 8, and 11). The four Mimbres Valley groups can be separated using Sr and Rb (Fig. 6A, inset). In contrast to the portable XRF data, excellent separation of El Paso Core and groups 1, 3, 8, and 21 is observed in a bivariate plot based on Th and Ta INAA concentrations (Fig. 6B). The three remaining Mimbres Valley groups exhibit equally good discrimination using Cs and Cr (Fig. 6B, inset). 5. Conclusions Portable XRF has demonstrated great potential for quantitative analyses of manymaterial classes, such as obsidian andmetals (e.g., Heginbotham et al., 2010; Phillips and Speakman, 2009); however, the application of portable XRF to provenance studies of ceramics is not straightforward. In this study we examined 75 Mimbres and Jornada pottery samples by portable XRF.We carefully prepared the surfaces of the sherds and made every effort to optimize the portable XRF experiment to ensure that we generated the best possible data. The results of the portable XRF analyses were directly compared to INAA data generated from the same sherds. Although there is not a direct 1:1 correlation between the two datasets, data from the portable XRF study are somewhat in agreement with the corresponding INAA data. In particular, portable XRF was found to be suitable for distinguishing between major drainage basins and, to some extent, even short-distance intradrainage variation as shown by our results. Despite the generally acceptable results from portable XRF, it is clear that INAA has significantly greater analytical precision. In addition, the ability of INAA to measure trace and rare earth elements has proved critical to being able to effectively identify compositional groups that are useful for provenance studies. We suspect, based on our knowledge of other studies in the Americas, that the same can be said for most pottery studiesdthat is to say that analytical precision and the ability to measure trace and rare earth elements is key for discriminating compositional groups at a level required for site-specific (or approximately so) research questions. We are certain that there are some exemptions to this rule, but would argue that a portable-XRF study of ceramics should never be undertaken blindly. It is important to have some priori knowledge of the chemical variability and the expected group structure so that meaningful compositional groups can be constructed. In cases where museums will not permit removal of samples from whole pottery vessels (often referred to as destructive sampling), thus precluding INAA and/or ICP-MS, portable XRF may be the only practical method of chemical compositional analysis currently available. In such cases, some data are better than none even if the results may be less useful for answering some research questions than INAA and/or ICP-MS. As a final consideration, the mXRF experiments we conducted highlighted significant chemical variability within individual ceramics samples. The heterogeneous nature of ceramics at the mm scale must be considered when initiating provenance studies by mXRF. There is a big difference between the 80 mm diameter spot used in our mXRF experiments and the ca. 4000 mmdiameter spot of our portable XRF instrument. Although much of our ability to generate numbers comparable to INAA lies in the preparation of our samples, we must also consider that larger beam sizes will averageout some of the spatial chemical variability that occurs in ceramic pastes. It is therefore important to underscore that the ability to generate quantitative mXRF data for archaeological ceramics will be challenging and likely will have limited applicability to ceramic provenance studies. Acknowledgments We acknowledge all the Southwestern archaeologists who have submitted Mimbres, Jornada, and related ceramics for INAA at Texas A&M and MURR. Steve Shackley, Mike Glascock, Steven LeBlanc, and three anonymous reviewers are thanked for their thoughtful comments and criticisms of an earlier draft of this paper. INAA analyses were conducted at the University of Missouri Research Reactor and subsidized by various NSF grants awarded to Glascock and colleagues. JGI is indebted to the support of the Marie Curie International Outgoing Fellowships program, endorsed by the European Commission (“ARCHSYMB”, PIOF-GA-2008-223319). References Aldenderfer, M., Craig, N.M., Speakman, R.J., Popelka-Filcoff, R., 2008. 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